Year 7 Interactive Maths - Second Edition

Equations Involving Division

If we double the weight on both sides, then we obtain:

We notice that the statement

remains a true statement when each side of the equation is multiplied by 2.

This suggests that equations behave like balances.  If the same number multiplies the mass in both scales of a balance, it still remains balanced.  This implies that we can multiply both sides of an equation by the same number to get a new equation.

From the preceding discussion, we can state that:

To solve an equation, we can multiply both sides of an equation by the same number.

Example 6

Solution:

Study Another Topic in Chapter 7: Equations

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